Bacteria grown in a lab experience what is called an 'exponential phase' of population growth. Suppose that, during this phase, a colony of Mycobacterium tuberculosis you are growing has a per capita growth rate, r, of 0.063 per hour. If the size of your colony at the start of the exponential phase is 0.25 billion cells, then approximately how large will it be in 72 hours

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions